Call Now to Set Up Tutoring:

(888) 888-0446

Common Core: High School - Algebra : High School: Algebra

Study concepts, example questions & explanations for Common Core: High School - Algebra

Create An Account

All Common Core: High School - Algebra Resources

8 Diagnostic Tests 97 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #71 : Seeing Structure In Expressions

1, 9, 81, 729, 6561...

Is the sequence above arithmetic, geometric, or neither?

Possible Answers:

Geometric

Neither

Arithmetic

Correct answer:

Geometric

Explanation:

The series is geometric, which means that to get from one value to the next you always multiply by the same value. Here to get from one value to the next, you multiply by 9 each time:

1 x 9 = 9

9 x 9 = 81

81 x 9 = 729

729 x 9 = 6561

Report an Error

Example Question #72 : Seeing Structure In Expressions

What type of sequence describes the following set of numbers?

3, 15, 75, 375, 1875

Possible Answers:

Arithmetic Series

Geometric Series

Unknown Series

Correct answer:

Geometric Series

Explanation:

This is a geometric series. The same value, 5, is multiplied by each value to get to the next:

3 x 5 = 15

15 x 5 = 75

75 x 5 = 375

375 x 5 = 1875

When each term in a series is equal to the previous term multiplied by the same factor - in this case 5 - that's a geometric series.

Report an Error

Example Question #1 : Arithmetic With Polynomials & Rational Expressions

Given and find A-B .

$\\A=x^2+2 \\B=4x^2-1$

Possible Answers:

-3x^2+3

3x^2-3

3x^2+3

-5x^2+3

-3x^2-3

Correct answer:

-3x^2+3

Explanation:

To find the difference of two polynomials first set up the operation and identify the like terms.

$\\A=x^2+2 \\B=4x^2-1$

A-B= (x^2+2)-(4x^2-1)

The like terms in these polynomials are the squared variable and the constant terms.

Remember to distribute the negative sign through to all terms in the second polynomial.

$A-B={\color{Red} x^2}{\color{Blue} +2}{\color{Red} -4x^2}{\color{Blue} --1}$

$\\x^2-4x^2=-3x^2 \\2-(-1)=3$

Therefore, the sum of these polynomials is,

-3x^2+3

Report an Error

Example Question #72 : High School: Algebra

Given and find A+B .

$\\A=x^2+2 \\B=4x^2-1$

Possible Answers:

5x^2+3

3x^2-1

3x^2+1

5x^2-1

5x^2+1

Correct answer:

5x^2+1

Explanation:

To find the sum of two polynomials first set up the operation and identify the like terms.

$\\A=x^2+2 \\B=4x^2-1$

A+B= (x^2+2)+(4x^2-1)

The like terms in these polynomials are the squared variable and the constant terms.

$A+B={\color{Red} x^2}{\color{Blue} +2}{\color{Red} +4x^2}{\color{Blue} -1}$

$\\x^2+4x^2=5x^2 \\2+(-1)=1$

Therefore, the sum of these polynomials is,

5x^2+1

Report an Error

Example Question #73 : High School: Algebra

Given and find B-A .

$\\A=x^2+2 \\B=4x^2-1$

Possible Answers:

3x^2+3

-3x^2+3

3x^2-3

5x^2-3

-3x^2-3

Correct answer:

3x^2-3

Explanation:

To find the difference of two polynomials first set up the operation and identify the like terms.

$\\A=x^2+2 \\B=4x^2-1$

B-A= (4x^2-1)-(x^2+2)

The like terms in these polynomials are the squared variable and the constant terms.

Remember to distribute the negative sign through to all terms in the second polynomial.

$B-A={\color{Red} 4x^2}{\color{Blue} -1}{\color{Red} -x^2}{\color{Blue} -2}$

$\\4x^2-x^2=3x^2 \\-1-2=-3$

Therefore, the sum of these polynomials is,

3x^2-3

Report an Error

Example Question #1 : Working With Complex Polynomials

Given and find A-B .

$\\A=3x^3+x+2 \\B=4x^3-2x-1$

Possible Answers:

-x^3-3x-3

-x^3+3x+3

-x^3-3x+3

x^3+3x+3

x^3+3x-3

Correct answer:

-x^3+3x+3

Explanation:

To find the difference of two polynomials first set up the operation and identify the like terms.

$\\A=3x^3+x+2 \\B=4x^3-2x-1$

A-B= (3x^3+x+2)-(4x^3-2x-1)

The like terms in these polynomials are the squared variable, the single variable, and the constant terms.

Remember to distribute the negative sign to all terms within the parentheses.

$A-B={\color{Red} 3x^3}{\color{Blue} +x}+2{\color{Red} -4x^3}{\color{Blue} +2x}+1$

$\\3x^3-4x^3=-x^3 \\x+2x=3x \\2+1=3$

Therefore, the sum of these polynomials is,

-x^3+3x+3

Report an Error

Example Question #1 : Arithmetic With Polynomials & Rational Expressions

Given and find A+B .

$\\A=2x^2+2 \\B=4x^2-2$

Possible Answers:

-6x^2

6x^2+2

6x^2-4

6x^2+4

6x^2

Correct answer:

6x^2

Explanation:

To find the sum of two polynomials first set up the operation and identify the like terms.

$\\A=2x^2+2 \\B=4x^2-2$

A+B= (2x^2+2)+(4x^2-2)

The like terms in these polynomials are the squared variable and the constant terms.

$A+B={\color{Red} 2x^2}{\color{Blue} +2}{\color{Red} +4x^2}{\color{Blue} -2}$

$\\2x^2+4x^2=6x^2 \\2+(-2)=0$

Therefore, the sum of these polynomials is,

6x^2

Report an Error

Example Question #1 : Polynomials And Quadratics

Given and find A-B .

$\\A=2x^2+2 \\B=4x^2-2$

Possible Answers:

2x^2+4

-2x^2+4

2x^2-4

-2x^2+2

-2x^2-4

Correct answer:

-2x^2+4

Explanation:

To find the difference of two polynomials first set up the operation and identify the like terms.

$\\A=2x^2+2 \\B=4x^2-2$

A-B= (2x^2+2)-(4x^2-2)

The like terms in these polynomials are the squared variable and the constant terms.

Remember to distribute the negative sign to all terms in the second polynomial.

$A-B={\color{Red} 2x^2}{\color{Blue} +2}{\color{Red} -4x^2}{\color{Blue} +2}$

$\\2x^2-4x^2=-2x^2 \\2+2=4$

Therefore, the sum of these polynomials is,

-2x^2+4

Report an Error

Example Question #77 : High School: Algebra

Given and find B-A .

$\\A=2x^2+2 \\B=4x^2-2$

Possible Answers:

-2x^2-4

-2x^2+4

2x^2-4

2x^2+4

2x^2

Correct answer:

2x^2-4

Explanation:

To find the difference of two polynomials first set up the operation and identify the like terms.

$\\A=2x^2+2 \\B=4x^2-2$

B-A= (4x^2-2)-(2x^2+2)

The like terms in these polynomials are the squared variable and the constant terms.

Remember to distribute the negative sign to all terms in the second polynomial.

$B-A= {\color{Red} 4x^2}-2{\color{Red} -2x^2}-2$

$\\4x^2-2x^2=2x^2 \\-2-2=-4$

Therefore, the sum of these polynomials is,

2x^2-4

Report an Error

Example Question #78 : High School: Algebra

Given and find A+B .

$\\A=x^2 \\B=4x^2-1$

Possible Answers:

-5x^2+1

5x^2+1

5x^2-1

5x^2

-5x^2-1

Correct answer:

5x^2-1

Explanation:

To find the sum of two polynomials first set up the operation and identify the like terms.

$\\A=x^2 \\B=4x^2-1$

A+B= (x^2)+(4x^2-1)

The like terms in these polynomials are the squared variable.

$A+B={\color{Red} x^2}{\color{Red} +4x^2}-1$

$\\x^2+4x^2=5x^2 \\0+(-1)=-1$

Therefore, the sum of these polynomials is,

5x^2-1

Report an Error

View Tutors

Nicholas
Certified Tutor

University of California-San Diego, Bachelor of Science, Applied Mathematics.

View Tutors

Denys
Certified Tutor

Lviv National University Ukraine, Bachelors, Biology/Biophysics. University of Szeged Hungary, PHD, Computational Biophysics.

View Tutors

Brandon
Certified Tutor

University of Houston, Bachelor of Science, Biology, General. University of North Texas, Doctor of Philosophy, Pharmacy.

All Common Core: High School - Algebra Resources

8 Diagnostic Tests 97 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Reading Tutors in Seattle, GMAT Tutors in Dallas Fort Worth, GRE Tutors in Philadelphia, GMAT Tutors in Washington DC, MCAT Tutors in Boston, GRE Tutors in Boston, Statistics Tutors in Miami, Algebra Tutors in Seattle, Physics Tutors in Denver, Biology Tutors in Atlanta

Popular Courses & Classes

LSAT Courses & Classes in Miami, SAT Courses & Classes in Denver, ACT Courses & Classes in San Francisco-Bay Area, SSAT Courses & Classes in Phoenix, LSAT Courses & Classes in Washington DC, ACT Courses & Classes in New York City, Spanish Courses & Classes in Boston, SSAT Courses & Classes in Houston, GMAT Courses & Classes in Miami, GMAT Courses & Classes in Seattle

Popular Test Prep

ISEE Test Prep in Washington DC, SAT Test Prep in Miami, ISEE Test Prep in Houston, SSAT Test Prep in Miami, LSAT Test Prep in Seattle, GMAT Test Prep in Miami, LSAT Test Prep in Dallas Fort Worth, SAT Test Prep in Boston, GMAT Test Prep in Houston, MCAT Test Prep in Phoenix

DMCA Complaint

If you believe that content available by means of the Website (as defined in our Terms of Service) infringes one or more of your copyrights, please notify us by providing a written notice (“Infringement Notice”) containing the information described below to the designated agent listed below. If Varsity Tutors takes action in response to an Infringement Notice, it will make a good faith attempt to contact the party that made such content available by means of the most recent email address, if any, provided by such party to Varsity Tutors.

Your Infringement Notice may be forwarded to the party that made the content available or to third parties such as ChillingEffects.org.

Please be advised that you will be liable for damages (including costs and attorneys’ fees) if you materially misrepresent that a product or activity is infringing your copyrights. Thus, if you are not sure content located on or linked-to by the Website infringes your copyright, you should consider first contacting an attorney.

Please follow these steps to file a notice:

You must include the following:

A physical or electronic signature of the copyright owner or a person authorized to act on their behalf; An identification of the copyright claimed to have been infringed; A description of the nature and exact location of the content that you claim to infringe your copyright, in \ sufficient detail to permit Varsity Tutors to find and positively identify that content; for example we require a link to the specific question (not just the name of the question) that contains the content and a description of which specific portion of the question – an image, a link, the text, etc – your complaint refers to; Your name, address, telephone number and email address; and A statement by you: (a) that you believe in good faith that the use of the content that you claim to infringe your copyright is not authorized by law, or by the copyright owner or such owner’s agent; (b) that all of the information contained in your Infringement Notice is accurate, and (c) under penalty of perjury, that you are either the copyright owner or a person authorized to act on their behalf.

Send your complaint to our designated agent at:

Charles Cohn Varsity Tutors LLC
101 S. Hanley Rd, Suite 300
St. Louis, MO 63105

Or fill out the form below:

Do not fill in this field

Contact Information

* Full legal name

Company name

* Phone number

* Email address

Address

* Address1

Address2

* City

* State

* Zipcode

* Country

Complaint Details

* URL of copyrighted work (where your original material is located)

* Please describe the copyrighted work so that it may be easily identified

I am the owner, or an agent authorized to act on behalf of the owner of an exclusive right that is allegedly infringed.

I have a good faith belief that the use of the material in the manner complained of is not authorized by the copyright owner, its agent, or the law.

This notification is accurate.

I acknowledge that there may be adverse legal consequences for making false or bad faith allegations of copyright infringement by using this process.

* Signature (your digital signature is legally binding)

HIGH SCHOOL

GRADUATE SCHOOL

K-8

Search 50+ Tests

math tutoring

science tutoring

foreign languages

elementary tutoring

other

Search 350+ Subjects

Common Core: High School - Algebra : High School: Algebra

Study concepts, example questions & explanations for Common Core: High School - Algebra

All Common Core: High School - Algebra Resources

Example Questions

Example Question #71 : Seeing Structure In Expressions

Example Question #72 : Seeing Structure In Expressions

Example Question #1 : Arithmetic With Polynomials & Rational Expressions

Example Question #72 : High School: Algebra

Example Question #73 : High School: Algebra

Example Question #1 : Working With Complex Polynomials

Example Question #1 : Arithmetic With Polynomials & Rational Expressions

Example Question #1 : Polynomials And Quadratics

Example Question #77 : High School: Algebra

Example Question #78 : High School: Algebra

All Common Core: High School - Algebra Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: